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  • Show that (12)n cannot end with digit 0 or 5 for any natural number n.     

Show that (12)n cannot end with digit 0 or 5 for any natural number n. 

 

 

Answers (1)

\\12^n=(2^2\times3)^n=2^{2n}\times3^n

There is no factor of the form 5n, therefore, 12n can not end with digit 0 or 5 for any natural number n.

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Safeer PP

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